Question

find a smallest number by which 3645must be multiplied to get a perfect square

Answer 1

3645 = 3*3*3*3*3*3*5

=(3*3)*(3*3)*(3*3)*5
5 is alone here

to make 3645 perfect square we multiply with 5

3645*5 = (3*3)*(3*3)*(3*3)*(5*5)

=(3*3*3*5)^2
=(135)^2